Question

F(x)=x^2 what is g(x)

Answer 1

Answer: D

Step-by-step explanation:

Sometimes, it is hard to see which function fits g(x). We are given the point (4,1). Luckily, the point lies on g(x). We can plug in (4,1) into the g(x) equations and see which best fits.

A. Incorrect

$1=4(4)^2$

$1=4(16)$

$1\neq 64$

B. Incorrect

$1=\frac{1}{4} (4)^2$

$1=\frac{1}{4} (16)$

$1\neq 4$

C. Incorrect

$1=(\frac{1}{2}(4))^2$

$1=(2)^2$

$1\neq 4$

D. Correct

$1=(\frac{1}{4}(4))^2$

$1=(1)^2$

$1=1$